Simplify Square Root of 5325

Here we will show you step-by-step how to simplify the square root of 5325. The square root of 5325 can be written as follows:


	√	5325

The √ symbol is called the radical sign. To simplify the square root of 5325 means to get the simplest radical form of √5325.

Step 1: List Factors
List the factors of 5325 like so:

1, 3, 5, 15, 25, 71, 75, 213, 355, 1065, 1775, 5325

Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:

1, 25

Step 3: Divide
Divide 5325 by the largest perfect square you found in the previous step:

5325 / 25 = 213

Step 4: Calculate
Calculate the square root of the largest perfect square:

√25 = 5

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5325 in its simplest form:


5	√	213

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Decimal Form
Square Root of 5325 in Decimal form rounded to nearest 5 decimals:

72.9726

Exponent Form
Square Root of 5325 written with Exponent instead of Radical:

5325^½ = 5 x 213^½

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* List of Perfect Squares